On the fundamental forms of the B-scroll with null directrix and cartan frame in minkowskian 3-space

Kiliçoğlu Ş., Hilmi Hacisalihoğlu H., Şenyurt S.

Applied Mathematical Sciences, vol.9, no.77-80, pp.3957-3965, 2015 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 77-80
  • Publication Date: 2015
  • Doi Number: 10.12988/ams.2015.53230
  • Journal Name: Applied Mathematical Sciences
  • Journal Indexes: Scopus
  • Page Numbers: pp.3957-3965
  • Keywords: B-scroll, Cartan frame, Minkowski space-time, Ruled surface
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

© 2015 Şeyda Ki{dotless}li{dotless}çoğlu, H.Hilmi Haci{dotless}salihoğlu and Süleyman Şenyurt.In this work we will study on Minkowskian 3-space, with null directrix and Cartan frame:In this paper, we investigate the first fundamental form, the second fundamental form of B-scroll with Cartan framed null directrix in the Minkowskian 3-space. The third fundamental form of Bscroll with Cartan framed null directrix are examined in Minkowskian 3-space. Also we have that the ruled surface B-scroll is minimal surface under the condition-k1-uk2 + u2k32 = 0.